Segment Ranges  - available with many, but not all Traditional Motion-Laws.

The parameters are:

•Start-Range [Default = 0]

•End-Range [Default = 1]

0 ≤ Start Range < End Range ≤ 1

Notes:

•Position at the start and end of the segment do not NOT change.

The images shows the acceleration graph of a Modified Sinusoid motion-law.

The X-axis start is 30º and X-axis end is 120º

Image 1

Default Segment-Range parameter values.

•Start-Range = 0.0

•End-Range = 1.0

Image 2

•Start-Range = 0.2 - to removes 20% at the start of the Modified-Sinusoid segment mathematically function

•End-Range = 1.0

Segment-Width does not change.

Image 3

•Start-Range = 0.0

•End-Range = 0.8 - to remove 20% at the end of the Modified-Sinusoid segment.

Segment-Width does not change.

see also: Segment Editor: Segment-Width, Segment Editor: Parameters

Symmetrical Motions

The crossover is at the mid-point of the Segment.

Asymmetrical Motions

The crossover is earlier or later than the mid-point of the Segment.

When to use Asymmetrical Motions

You want the mechanism tool to accelerate quickly, to reach its maximum velocity earlier than the mid-point (natural) of the motion-law. The tool will decelerate slowly for more than 50% of the segment period. and its than the standard deceleration duration.

Or vice-versa.

You can model an asymmetrical motion with two segments that have the same motion law - for example a Modified Sinusoid.

Orange Line graph :

Symmetrical Mod-Sine Motion-Law : λ = 0.5

This motion-law is usually specified with one standard Mod-Sine segment.

However, here, it has two Mod-Sine segments.

Segment 1

Machine angle: 0 - 180º  [ 0 - 0.5 of total duration]

Displacement : 0 - 50 units

Segment Ranges = 0 and 0.5.

Segment 2

Machine angle: 180 - 360º [ 0.5 - 1.0 of total duration]

Displacement : 50- 100 units

Segment Ranges = 0.5 and 1.

Black Line graph

Asymmetrical Mod-Sine Motion-Law : λ = 0.25

Crossover @ 0.25 = 90º machine angle.

It also two Mod-Sine segments:

Segment 1:

Machine angle: 0 - 90º [0 - 0.25 of total duration]

Displacement : 0 - 25 units

Segment Ranges : 0 and 0.5.

Segment 2:

Machine angle: 90 - 360º [0.75 - 1.0 of total duration]

Displacement : 75 - 100 units

Segment Ranges = 0.5 and 1.

Characteristics Values of Asymmetrical Motion-Law.

Velocity : No Change to Symmetrical Motion-Law.

Acceleration: Segment 1 :  Cas = Ca / 2λ ;

Acceleration: Segment 2 :  Cas = Ca / 2(1-λ)